What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases...
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Transcript of What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases...
![Page 1: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/1.jpg)
Tuesday: 10-23-2012
![Page 2: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/2.jpg)
![Page 3: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/3.jpg)
What is a cylinder?A cylinder is a three-dimensional shape that
has two identical circular bases connected by a curved surface.
Cylinder
Radius
Circumference
Height
![Page 4: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/4.jpg)
How do we solve for the volume of any shape?Base x height
Name of this shape:Cylinder
Shape of the Base:circle
Formula for the area of a circle?Area = radius x radius x pi
What is the area for the circle on your page?5² x π
![Page 5: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/5.jpg)
Since we know the base of a cylinder is a circle, how can we rewrite the equation above to make a formula specific to a cylinder?
Volume = radius x radius x pi x height
How is the formula from the top of the page similar to the formula for finding the volume of a cylinder?
How do we solve for the volume of any shape?
Radius = 5cmVolume = 5 x 5 x 3.14 x 20Volume = 1570.8 cubic cm
![Page 6: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/6.jpg)
Solve for Volume – Show your work!
28 cm
60 cm
8 in
10 in
Radius = 28 cmVolume = 28 x 28 x 3.14 x 60Volume = 147705.6 cubic cmDiameter = 10 in Radius = 5 inVolume = 5 x 5 x 3.14 x 8Volume = 628.32 cubic in
![Page 7: What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.](https://reader036.fdocuments.us/reader036/viewer/2022072010/56649dd25503460f94ac91a2/html5/thumbnails/7.jpg)
Prism and Cylinders
Pentagonal Prism? Base x height